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Dynamical-model approach to observer and smooth filter design

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1 Author(s)
S. Ibrir ; Lab. des Signaux et Syst., CNRS, Gif-sur-Yvette, France

A smoothing procedure, used as a filter and an observer is proposed. Given a linear dynamical process modeled by its input-output equation, where the output is supposed to be corrupted by a zeromean noise, we develop the numerical algorithm to smooth the real measured output and compute the reliable estimates of its derivatives by solving a constrained optimization problem. First we form an equivalent discrete norm to the L2-norm of the input-output equation and consider that the solution of the smoothing problem is a spline function which minimizes the formed criterion subject to a linear inequality. Using the definition of the algebraic observability, the system states are then estimated. Satisfactory results of such a procedure is proved by numerical simulations

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American Control Conference, 1999. Proceedings of the 1999  (Volume:6 )

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